Finding the Fourth Proportional to 3,768.24, 5,200.34 and 2,507.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.24 : 5,200.34 = 2,507.27 : x
2. Step 2: Convert to fraction form
   3,768.24/5,200.34 = 2,507.27/x
3. Step 3: Cross multiply
   3,768.24x = 5,200.34 × 2,507.27
4. Step 4: Simplify right side
   3,768.24x = 13,038,617.93
5. Step 5: Solve for x
   x = 13,038,617.93/3,768.24
6. Step 6: Final answer
   x = 3,460.13